binary!( - courses.cs.washington.edu...
TRANSCRIPT
Binary! 0010100100110010010101
Why do computers use binary?
• Easy to detect the state of a switch – they’re either on or off!
• Using another base makes computers more prone to error.
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
0
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
1
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
10
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
11
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
100
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
101
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
110
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
111
CounCng
In decimal (base 10), we have digits 0-‐9. In binary, we only have digits 0 and 1.
1000
Places
1011
1’s
Places
1011
2’s
Places
1011
4’s
Places
1011
8’s
Places
1011 20
4853 100
Places
1011 21
4853 101
Places
1011 22
4853 102
Places
1011 23
4853 103
TranslaCng Binary to Decimal
1011
1
TranslaCng Binary to Decimal
1011
1 2 +
TranslaCng Binary to Decimal
1011
1 2 + 0 +
TranslaCng Binary to Decimal
1011
1 2 + 0 + 8 +
TranslaCng Binary to Decimal
101100
Answer: 44
TranslaCng Binary to Decimal
10001110
Answer: 142
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
1
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
11
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
011
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
1011
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
11011
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 110110
011011
Zorah’s favorite things about Binary
Adding is the easiest. EVER.
100101 37 110110 54
1011011 91
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
101100 44
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
010110 22
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
001011 11
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
000101 .1 5 .5
Zorah’s favorite things about Binary
Dividing by 2 is neat-‐o
00010 .11 2 .75
Zorah’s favorite things about Binary
You can count to, like, a bajillion on your fingers in binary.
Try it. I know you want to.
“There are 10 types of people in the world: those who understand binary and those who don’t.”